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Finding the Third Proportional to 46,790.75 and 101,463.75

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Solution

The third proportional to 46,790.75 and 101,463.75 is: 220,019.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,790.75 : 101,463.75 = 101,463.75 : x
  2. Step 2: Convert to fraction form
    46,790.75/101,463.75 = 101,463.75/x
  3. Step 3: Cross multiply
    46,790.75x = 101,463.75 × 101,463.75
  4. Step 4: Simplify right side
    46,790.75x = 10,294,892,564.06
  5. Step 5: Solve for x
    x = 10,294,892,564.06/46,790.75
  6. Step 6: Final answer
    x = 220,019.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.